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Question
A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that `1/8` space is covered by the mortar. Then the number of bricks used to construct the wall is ______.
Options
11100
11200
11000
11300
Solution
A mason constructs a wall of dimensions 270 cm × 300 cm × 350 cm with the bricks each of size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that `1/8` space is covered by the mortar. Then the number of bricks used to construct the wall is 11200.
Explanation:
Volume of the wall
= 270 × 300 × 350 ...[∵ Volume of cuboid = length × breadth × height]
= 28350000 cm3
Since, `1/8` space of wall is covered by mortar.
So, remaining space of wall
= Volume of wall – Volume of mortar
= `28350000 - 28350000 xx 1/8`
= 28350000 – 3543750
= 24806250 cm3
Now, volume of one brick
= 22.5 × 11.25 × 8.75 ...[∵ Volume of cuboid = length × breadth × height]
= 2214.844 cm3
∴ Required number of bricks = `24806250/2214.844` = 11200 (approx)
Hence, the number of bricks used to construct the wall is 11200.
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